{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Linear:\n",
    "    def __init__(self,in_features,out_features,bias=True):\n",
    "        '''\n",
    "        模型参数初始化\n",
    "        '''\n",
    "        self.weight = torch.randn((in_features,out_features),requires_grad=True)\n",
    "        self.bias = torch.randn(out_features,requires_grad=True) if bias else None\n",
    "    \n",
    "    def __call__(self,x):\n",
    "        self.out = x @ self.weight\n",
    "        if self.bias is not None :\n",
    "            self.out += self.bias\n",
    "        return self.out\n",
    "    \n",
    "    def parameters(self):\n",
    "        if self.bias is not None:\n",
    "            return [self.weight ,self.bias]\n",
    "        return self.weight\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Sigmoid:\n",
    "    def __call__(self,x):\n",
    "        self.out = torch.sigmoid(x)\n",
    "        return self.out\n",
    "    def parameters(self):\n",
    "        return []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Sequential:\n",
    "    def __init__(self,layers):\n",
    "        self.layers = layers\n",
    "    def __call__(self,x):\n",
    "         # 依次进行向前传播\n",
    "         for l in self.layers:\n",
    "             x = l(x)\n",
    "         self.out = x\n",
    "         return self.out\n",
    "    def parameters(self):\n",
    "        return [p for layer in self.layers for p in layer.parameters()]\n",
    "    def predict_proba(self,x):\n",
    "        if isinstance(x, np.ndarray):\n",
    "            x = torch.tensor(x).float()\n",
    "        logits = self(x)\n",
    "        prob = F.softmax(logits,dim = -1).detach().numpy()\n",
    "        return prob"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_model(model,data,max_steps):\n",
    "    lossi = []\n",
    "    udi = {}\n",
    "    x,y = torch.tensor(data[0]).float(), torch.tensor(data[1]).long()\n",
    "    lr = 0.01\n",
    "\n",
    "    for i in range(max_steps):\n",
    "        logits = model(x)\n",
    "        loss = F.cross_entropy(logits,y)\n",
    "        # 保留中间节点\n",
    "        for layer in model.layers:\n",
    "            layer.out.retain_grad()\n",
    "        for p in model.parameters():\n",
    "            p.grad = None\n",
    "        # 反向传播\n",
    "        loss.backward()\n",
    "        # 更新模型参数\n",
    "        with torch.no_grad():\n",
    "            for i,p in enumerate(model.parameters()):\n",
    "                p -= lr * p.grad\n",
    "                udi[i] = udi.get(i,[]) + [(lr * p.grad).std() / p.std()]\n",
    "        lossi.append(loss.item())\n",
    "    return lossi,udi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([2.01701283454895],\n",
       " {0: [tensor(0.0010)],\n",
       "  1: [tensor(0.0014)],\n",
       "  2: [tensor(0.0004)],\n",
       "  3: [tensor(0.0006)],\n",
       "  4: [tensor(0.0005)],\n",
       "  5: [tensor(0.0008)],\n",
       "  6: [tensor(0.0004)],\n",
       "  7: [tensor(0.0006)],\n",
       "  8: [tensor(0.0032)],\n",
       "  9: [tensor(0.0097)]})"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "\n",
    "data = make_moons(200,noise = 0.05)\n",
    "n_hidden = 128\n",
    "\n",
    "model = Sequential(\n",
    "    [\n",
    "        Linear(       2, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden,        2)\n",
    "    ]\n",
    ")\n",
    "\n",
    "train_model(model,data,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 监控激活函数的输出\n",
    "def saturation_stats(model):\n",
    "    for i,layer in enumerate(model.layers):\n",
    "        if isinstance(layer,Sigmoid):\n",
    "            t = layer.out\n",
    "            # 当输出大于0.99 或者 0.01的时候,则认为激活函数过热\n",
    "            saturation = ((t-0.5).abs() > 0.49).float().mean()\n",
    "            hy,hx = torch.histogram(t,density=True)\n",
    "            plt.plot(hx[:-1].detach(),hy.detach())\n",
    "            print(f'layer {i} mean {t.mean()} std {t.std():.2f} saturation{saturation:.2f}')\n",
    "    plt.show()\n",
    "            "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 1 mean 0.5243058204650879 std 0.27 saturation0.01\n",
      "layer 3 mean 0.5149892568588257 std 0.44 saturation0.49\n",
      "layer 5 mean 0.4778558313846588 std 0.45 saturation0.54\n",
      "layer 7 mean 0.5086372494697571 std 0.44 saturation0.50\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "saturation_stats(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 监控线性模型的监控项\n",
    "def grad_stats(model):\n",
    "    # 输出层不讨论\n",
    "    for i,layer in enumerate(model.layers[:-1]):\n",
    "        if isinstance(layer,Linear):\n",
    "            w = layer.parameters()[0] #权重项\n",
    "            g = w.grad\n",
    "            grad_ration = g.std() / w.std()\n",
    "            \n",
    "            hy,hx = torch.histogram(g,density=True)\n",
    "            plt.plot(hx[:-1].detach(),hy.detach())\n",
    "            print(f'layer {i} mean {g.mean():.5f} std {g.std():.5f} grad_ration: {grad_ration:.2f}')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean 0.00481 std 0.10236 grad_ration: 0.10\n",
      "layer 2 mean 0.00013 std 0.03702 grad_ration: 0.04\n",
      "layer 4 mean -0.00076 std 0.04892 grad_ration: 0.05\n",
      "layer 6 mean 0.00087 std 0.04016 grad_ration: 0.04\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grad_stats(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "_,uid = train_model(model,data,100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grad_ratio_plot(model):\n",
    "    legends = []\n",
    "    for i,p in enumerate(model.parameters()[:-2]):\n",
    "        if p.ndim == 2:\n",
    "            plt.plot([t.log10().item() for t in uid[i]])\n",
    "            legends.append(f'layer{i} {p.shape}')\n",
    "        plt.legend(legends)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grad_ratio_plot(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 定义新的激活函数,让输出层不会出现过热的现象.\n",
    "$$\n",
    "Relu = max(x,0)\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([4059.3662109375],\n",
       " {0: [tensor(0.8182)],\n",
       "  1: [tensor(0.9074)],\n",
       "  2: [tensor(0.2493)],\n",
       "  3: [tensor(0.2629)],\n",
       "  4: [tensor(0.3231)],\n",
       "  5: [tensor(0.0436)],\n",
       "  6: [tensor(0.2905)],\n",
       "  7: [tensor(0.0054)],\n",
       "  8: [tensor(0.9456)],\n",
       "  9: [tensor(0.0138)]})"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class Relu:\n",
    "    def __call__(self,x):\n",
    "        self.out = torch.relu(x)\n",
    "        return self.out\n",
    "    def parameters(self):\n",
    "        return []\n",
    "\n",
    "model_relu = Sequential(\n",
    "    [\n",
    "        Linear(       2, n_hidden),Relu(),\n",
    "        Linear(n_hidden, n_hidden),Relu(),\n",
    "        Linear(n_hidden, n_hidden),Relu(),\n",
    "        Linear(n_hidden, n_hidden),Relu(),\n",
    "        Linear(n_hidden,        2)\n",
    "    ]\n",
    ")       \n",
    "train_model(model_relu,data,1) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "saturation_stats(model_relu)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([0.6945632696151733],\n",
       " {0: [tensor(1.0660e-06)],\n",
       "  1: [tensor(1.)],\n",
       "  2: [tensor(1.0404e-05)],\n",
       "  3: [tensor(1.)],\n",
       "  4: [tensor(1.4557e-05)],\n",
       "  5: [tensor(1.)],\n",
       "  6: [tensor(5.0524e-05)],\n",
       "  7: [tensor(1.)],\n",
       "  8: [tensor(0.0018)],\n",
       "  9: [tensor(1.)]})"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = Sequential(\n",
    "    [\n",
    "        Linear(       2, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden, n_hidden),Sigmoid(),\n",
    "        Linear(n_hidden,        2)\n",
    "    ]\n",
    ")\n",
    "## 模型参数初始化的优化\n",
    "\n",
    "with torch.no_grad():\n",
    "    for layer in model.layers:\n",
    "        if isinstance(layer,Linear):\n",
    "            in_features ,out_features = layer.weight.shape\n",
    "            layer.weight *= 1/ in_features ** 0.5\n",
    "            layer.bias = torch.zeros(out_features,requires_grad=True)\n",
    "\n",
    "train_model(model,data,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 1 mean 0.497742623090744 std 0.18 saturation0.00\n",
      "layer 3 mean 0.4972151815891266 std 0.13 saturation0.00\n",
      "layer 5 mean 0.50493985414505 std 0.12 saturation0.00\n",
      "layer 7 mean 0.5015711784362793 std 0.12 saturation0.00\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "saturation_stats(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean 0.00000 std 0.00008 grad_ration: 0.00\n",
      "layer 2 mean -0.00000 std 0.00009 grad_ration: 0.00\n",
      "layer 4 mean 0.00000 std 0.00013 grad_ration: 0.00\n",
      "layer 6 mean 0.00001 std 0.00045 grad_ration: 0.01\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grad_stats(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_,uid = train_model(model,data,100)\n",
    "grad_ratio_plot(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "@torch.no_grad()\n",
    "def layer_stats(func,calculate_gain):\n",
    "    \"\"\"\n",
    "    func: 为激活函数\n",
    "    \"\"\"\n",
    "    x = torch.randn(300,1000)\n",
    "    for t in range(10):\n",
    "        l = Linear(1000,1000,bias=False)\n",
    "        in_features ,_ = l.weight.shape\n",
    "        l.weight *= (1/in_features)**0.5\n",
    "        # 做进一步优化\n",
    "        l.weight *= calculate_gain\n",
    "        x = func(l(x))\n",
    "        hy,hx = torch.histogram(x,density=True)\n",
    "        plt.plot(hx[:-1].detach(),hy.detach())\n",
    "        print(f'layer {t} mean {x.mean()} std {x.std():.2f} ')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean 0.4996960461139679 std 0.21 \n",
      "layer 1 mean 0.5006942749023438 std 0.13 \n",
      "layer 2 mean 0.4922701120376587 std 0.12 \n",
      "layer 3 mean 0.4977918267250061 std 0.12 \n",
      "layer 4 mean 0.5032526850700378 std 0.12 \n",
      "layer 5 mean 0.5002195835113525 std 0.12 \n",
      "layer 6 mean 0.5028800964355469 std 0.12 \n",
      "layer 7 mean 0.5015397667884827 std 0.12 \n",
      "layer 8 mean 0.5093941688537598 std 0.12 \n",
      "layer 9 mean 0.5030457973480225 std 0.12 \n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_stats(torch.sigmoid,1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean -0.0008172660600394011 std 0.76 \n",
      "layer 1 mean -0.0022124501410871744 std 0.69 \n",
      "layer 2 mean 0.0012066109338775277 std 0.67 \n",
      "layer 3 mean -0.0019626286812126637 std 0.66 \n",
      "layer 4 mean 0.0013845189241692424 std 0.65 \n",
      "layer 5 mean 0.0005069635226391256 std 0.65 \n",
      "layer 6 mean -0.0013069994747638702 std 0.65 \n",
      "layer 7 mean -0.0028485336806625128 std 0.65 \n",
      "layer 8 mean -0.00031728006433695555 std 0.65 \n",
      "layer 9 mean -0.0014186222106218338 std 0.65 \n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_stats(torch.tanh,5/3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean 0.5625303983688354 std 0.82 \n",
      "layer 1 mean 0.5443699955940247 std 0.81 \n",
      "layer 2 mean 0.5392492413520813 std 0.80 \n",
      "layer 3 mean 0.5565235614776611 std 0.81 \n",
      "layer 4 mean 0.5690967440605164 std 0.83 \n",
      "layer 5 mean 0.5402218699455261 std 0.81 \n",
      "layer 6 mean 0.5680318474769592 std 0.84 \n",
      "layer 7 mean 0.5751320719718933 std 0.85 \n",
      "layer 8 mean 0.5572888255119324 std 0.86 \n",
      "layer 9 mean 0.6180119514465332 std 0.89 \n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_stats(torch.relu,1.413)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "class BatchNorm:\n",
    "    # X(B,f)\n",
    "\n",
    "    def __init__(self,dim,eps = 1e-5):\n",
    "         self.eps = eps\n",
    "         self.gamma = torch.ones(dim, requires_grad=True)\n",
    "         self.beta = torch.zeros(dim,requires_grad=True)\n",
    "\n",
    "    def __call__(self,x):\n",
    "        xmean = x.mean(0,keepdim = True) # (1,f)\n",
    "        xvar = x.var(0,keepdim = True) #(1,f)\n",
    "        xhat = (x - xmean)/torch.sqrt(xvar + self.eps) # (B,f)\n",
    "        self.out = self.gamma * xhat + self.beta #(B,f)\n",
    "        return self.out\n",
    "\n",
    "    def parameters(self):\n",
    "        return [self.gamma,self.gamma]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "@torch.no_grad()\n",
    "def layer_stats2(func,calculate_gain):\n",
    "    \"\"\"\n",
    "    func: 为激活函数\n",
    "    \"\"\"\n",
    "    x = torch.randn(300,1000)\n",
    "    for t in range(10):\n",
    "        l = Linear(1000,1000,bias=False)\n",
    "        b = BatchNorm(1000)\n",
    "        # in_features ,_ = l.weight.shape\n",
    "        # l.weight *= (1/in_features)**0.5\n",
    "        # # 做进一步优化\n",
    "        # l.weight *= calculate_gain\n",
    "        x = func(b(l(x)))\n",
    "        hy,hx = torch.histogram(x,density=True)\n",
    "        plt.plot(hx[:-1].detach(),hy.detach())\n",
    "        print(f'layer {t} mean {x.mean()} std {x.std():.2f} ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean 0.5000352263450623 std 0.21 \n",
      "layer 1 mean 0.4999745786190033 std 0.21 \n",
      "layer 2 mean 0.49996858835220337 std 0.21 \n",
      "layer 3 mean 0.49992644786834717 std 0.21 \n",
      "layer 4 mean 0.4999031126499176 std 0.21 \n",
      "layer 5 mean 0.5000014901161194 std 0.21 \n",
      "layer 6 mean 0.5000075101852417 std 0.21 \n",
      "layer 7 mean 0.5000361800193787 std 0.21 \n",
      "layer 8 mean 0.499923437833786 std 0.21 \n",
      "layer 9 mean 0.4999662935733795 std 0.21 \n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_stats2(torch.sigmoid,1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean 0.39842239022254944 std 0.58 \n",
      "layer 1 mean 0.398299902677536 std 0.58 \n",
      "layer 2 mean 0.39813292026519775 std 0.58 \n",
      "layer 3 mean 0.3980797529220581 std 0.58 \n",
      "layer 4 mean 0.39784303307533264 std 0.58 \n",
      "layer 5 mean 0.39732566475868225 std 0.58 \n",
      "layer 6 mean 0.39752161502838135 std 0.58 \n",
      "layer 7 mean 0.39711853861808777 std 0.58 \n",
      "layer 8 mean 0.39694511890411377 std 0.58 \n",
      "layer 9 mean 0.39684632420539856 std 0.58 \n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_stats2(torch.relu,1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "layer 0 mean 1.4400227428268408e-06 std 0.63 \n",
      "layer 1 mean -0.0007629664032720029 std 0.63 \n",
      "layer 2 mean 3.330073013785295e-05 std 0.63 \n",
      "layer 3 mean -0.0006231162697076797 std 0.63 \n",
      "layer 4 mean -0.0004381412290968001 std 0.63 \n",
      "layer 5 mean -0.0002366463013458997 std 0.63 \n",
      "layer 6 mean 5.5806758609833196e-05 std 0.63 \n",
      "layer 7 mean 6.895554543007165e-05 std 0.63 \n",
      "layer 8 mean 0.00034201316884718835 std 0.63 \n",
      "layer 9 mean -0.0002442474942654371 std 0.63 \n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_stats2(torch.tanh,1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 总结批归一化\n",
    "按照统计学的语言来说就是统一不同特征之间的量纲\n",
    "然而,现代神经网络采用的是层归一化\n",
    "这种归一化是以将没一个数据进行归一化,从逻辑上看它并没有什么道理.但是结果却非常好."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "nvgpu",
   "language": "python",
   "name": "nvgpu"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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